Search a number
-
+
2057545479 = 31117107151227
BaseRepresentation
bin111101010100011…
…1010011100000111
312022101122010210010
41322220322130013
513203212423404
6540100201303
7101662563603
oct17250723407
95271563703
102057545479
11966481410
12495099233
1326a375042
14157398503
15c097d189
hex7aa3a707

2057545479 has 64 divisors (see below), whose sum is σ = 3233820672. Its totient is φ = 1149888000.

The previous prime is 2057545463. The next prime is 2057545481. The reversal of 2057545479 is 9745457502.

It is not a de Polignac number, because 2057545479 - 24 = 2057545463 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057545459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9063964 + ... + 9064190.

It is an arithmetic number, because the mean of its divisors is an integer number (50528448).

Almost surely, 22057545479 is an apocalyptic number.

2057545479 is a deficient number, since it is larger than the sum of its proper divisors (1176275193).

2057545479 is a wasteful number, since it uses less digits than its factorization.

2057545479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516.

The product of its (nonzero) digits is 1764000, while the sum is 48.

The square root of 2057545479 is about 45360.1750327311. The cubic root of 2057545479 is about 1271.8907664247.

The spelling of 2057545479 in words is "two billion, fifty-seven million, five hundred forty-five thousand, four hundred seventy-nine".

Divisors: 1 3 11 17 33 51 107 151 187 227 321 453 561 681 1177 1661 1819 2497 2567 3531 3859 4983 5457 7491 7701 11577 16157 20009 24289 28237 34277 42449 48471 60027 72867 84711 102831 127347 177727 267179 274669 377047 412913 533181 582709 801537 824007 1131141 1238739 1748127 3021359 3667639 4542043 6409799 9064077 11002917 13626129 19229397 40344029 62349863 121032087 187049589 685848493 2057545479